Explicit monoid structure is provided for the class of canonical subfield preserving polynomials over finite fields. Some classical results and asymptotic estimates will follow as corollaries.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-3, author = {Giacomo Micheli and Davide Schipani}, title = {On canonical subfield preserving polynomials}, journal = {Acta Arithmetica}, volume = {166}, year = {2014}, pages = {23-32}, zbl = {06360638}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-3} }
Giacomo Micheli; Davide Schipani. On canonical subfield preserving polynomials. Acta Arithmetica, Tome 166 (2014) pp. 23-32. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-1-3/